If `f(x) = 4x^2` and `g(x) = x^(1/2)` then find gof and fog

If f:[0,oo)rarr R and g:R rarr R be defined as f(x)=sqrt(x) and g(x)=-x^(2)-1, then find gof and fog.

If f : R rarr R and g : R rarr R be two mapping such that f(x) = sin x and g(x) = x^(2) , then find the values of (fog) (sqrt(pi))/(2) "and (gof)"((pi)/(3)) .

Suppose f(x)=x^(2)+2x+3 and g(x)=e^(x) then find fog(x) and gof(x)

If the functions f and g defined from the set of real number R to R such that f(x) = e^(x) and g(x) = 3x - 2, then find functions fog and gof. Also, find the domain of the functions (fog)^(-1) and (gof)^(-1) .

If f(x)=x^(2) and g(x)=3x. Then find gof(x),x=1,2,3.

If f:R rarr R,g:R rarr R defined as f(x)=sin x and g(x)=x^(2), then find the value of (gof)(x) and (fog)(x) and also prove that gof f= fog.

If f: R->R and g: R->R be functions defined by f(x)=x^2+1 and g(x)=sinx , then find fog and gof .

Let f : R rarr R and g : R rarr R be two functions such that fog (x) = sin x^(2) and gof (x) = sin^(2)x . Then , find f(x) and g(x).

Let :R rarr R;f(x)=sin x and g:R rarr Rg(x)=x^(2) find fog and gof.

If f:R rarr R and g:R rarr R are defined as follows: f(x)=x+2 and g(x)=2x^(2)+5 find,(i) fog and (ii) gof